Kiss, T. ; Jex, I. ; Alber, Gernot ; Vymetal, S. (2006)
Complex chaos in the conditional dynamics of qubits.
In: Physical Review A, 74 (4)
doi: 10.1103/PhysRevA.74.040301
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter. In contrast to the usual notion of quantum chaos, exponential sensitivity to the initial state occurs here. We calculate analytically the Lyapunov exponent based on the overlap of quantum states, and find that it is positive. We present a few illustrative examples of the emerging dynamics.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2006 |
| Autor(en): | Kiss, T. ; Jex, I. ; Alber, Gernot ; Vymetal, S. |
| Art des Eintrags: | Bibliographie |
| Titel: | Complex chaos in the conditional dynamics of qubits |
| Sprache: | Englisch |
| Publikationsjahr: | 2 Oktober 2006 |
| Verlag: | APS Physics |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Physical Review A |
| Jahrgang/Volume einer Zeitschrift: | 74 |
| (Heft-)Nummer: | 4 |
| DOI: | 10.1103/PhysRevA.74.040301 |
| Kurzbeschreibung (Abstract): | We analyze the consequences of iterative measurement-induced nonlinearity on the dynamical behavior of qubits. We present a one-qubit scheme where the equation governing the time evolution is a complex-valued nonlinear map with one complex parameter. In contrast to the usual notion of quantum chaos, exponential sensitivity to the initial state occurs here. We calculate analytically the Lyapunov exponent based on the overlap of quantum states, and find that it is positive. We present a few illustrative examples of the emerging dynamics. |
| Zusätzliche Informationen: | Art.No.: 040301(R) |
| Fachbereich(e)/-gebiet(e): | 05 Fachbereich Physik |
| Hinterlegungsdatum: | 19 Nov 2008 16:21 |
| Letzte Änderung: | 04 Apr 2023 09:35 |
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